The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy, or New York, New York:
High Low Q1 Q3 IQR Median Mean σ
Rome 21 1 1.5 7.5 6 4.5 6.5 6.6
New York 20 1 3.5 7.5 4 5 6.5 5.2

Which of the choices below best describes how to measure the center of these data?
Both centers are best described by the mean.

Both centers are best described by the median.

The Rome data center is best described by the mean. The New York data center is best described by the median.

The Rome data center is best described by the median. The New York data center is best described by the mean.

The distance traveled by the center is equal to the distance traveled by the wheel 6.28m is traveled by the center.

Given: A wheel with a radius rolled in a straight line through one complete revolution on a flat horizontal surface.

To Find: How many meters did the center of the wheel travel horizontally from its starting location.

Solution:

consider the figure attached.

radius of wheel [tex]=1m[/tex]

Horizontal distance traveled by the wheel in one complete revolution

=circumference of the wheel

[tex]\\=2\pi r\\=2*3.14*1\\=6.28m[/tex]

Hence, the distance traveled by center is equal to the distance traveled by the wheel 6.28m is traveled by the center

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The area of the similar triangle named ∆DEF is; 4 square centimeters.

We are given that ∆ABC is similar to ∆DEF.

The perimeter of ∆ABC is five times the perimeter of ∆DEF.  Thus;

(Perimeter of ΔABC) = 5(Perimeter of ΔDEF)

Thus;

(Perimeter of ΔABC)/(Perimeter of ΔDEF) = 5

Thus, we can say that;

Scale factor, K = 5.

Since the area of ∆ABC is 100 square centimeters, Then;

(area of ∆ABC)/(area of ∆DEF) = K²

100/(area of ∆DEF) = 5² = 25.

(area of ∆DEF) = 100/25 = 4.

Thus, the area of ∆DEF is 4 square centimeters.

Complete Question is;

∆ABC is similar to ∆DEF. The perimeter of ∆ABC is five times the perimeter of ∆DEF. The area of ∆ABC is 100 square centimeters. The area of ∆DEF is square centimeters

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A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.

The line plot, as we know, marks the dots across the number line, indicating frequency.

Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.

Thus, the option to choose is true.

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Answer:

C is the right answer I think

Answer:

B) 0.60n+1.48n = 176.80

Step-by-step explanation:

0.60 for every spiral wire per book = 0.60*n

0.74 per chipboard cover, 2 needed for each book = 1.48 per book = 1.48*n

Put it together: 0.60n+1.48n = 176.80

Answer: He receives a monthly salary of $1,478.00 and a $249.00 commission on each policy he sells. If Carson receives his commission check at the end of the month ...

Step-by-step explanation:

Answer:

b, c, and e

Step-by-step explanation:

a. 3^9 = 3 × 3 × 3× 3 × 3 × 3 × 3 × 3 × 3

= 27 × 27 × 27 => 19683

b. 3^4 = 3 × 3 × 3 × 3

= 9 × 9 => 81

c. -9² =>  81

d. 9^9 = 9 × 9 ×  9 × 9 × 9 × 9 × 9 × 9 ×  9

= 729 × 729 × 729 =>  387420489

e. 81¹ => 81

b, c, and e are all equal to 81

⊱________________________________________________________⊰

Answer:

Step-by-step explanation:

[tex]\LARGE\begin{gathered}\sf{Evaluate \ All \ Expressions \ First} \\ \sf{ 3^9=19683} \\ \sf{ 3^4=81} \\ \sf{-9^2=81, \ or \ -81, \because} \\ \sf{there's \ a \ difference \ between (-9)^2 \ and \ -(9)^2} \\ \sf{(-9)^2=81 \ and -(9)^2=-81} \\ \sf{ 9^9=387,420,489} \\ \sf{0.81^1=0.81\end{gathered}[/tex]

Now, can you see the expressions that are equivalent?

⊰______________________________________________________⊱

Based on the geometric figures shown, the three collinear points are:

Collinear points can be defined as three or more points that all lie on the same straight line (single line). Based on the geometric figures shown in the image below, the three collinear points include:

Another name for line AB is line segment BA, AT, BT, TA, TB. Also, a line in plane Z is line segment AT or line l.

Based on the image shown, the intersection of planes Z and W is line segment AT.

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Answer:

30 - 10

Step-by-step explanation:

When you distribute, that means you multiply everything on the outside of the parentheses by everything on the inside.

5 (6-2)

is really

5*6 - 5*2

30 - 10

Answer:

Hope it helps you..............

that is my I hope it helps you

Answer:

-1468955

Step-by-step explanation:

please don't forget to write down the correct questions and formula.

find f(x) of g(x)

f(x)=2x+1 and g(x)=x²-7

F of G = 2(x²-7)+1

= 2x²-14+1

= 2x²-13

according to the question x=-1212

so there for f(x) of g(x)=2(-1212)²-13

=-1468955

Answer:

x = 90

Step-by-step explanation:

In this figure the exterior angle is 130°

An exterior angle is the sum of the interior angles. The interior angles are x and 40 so x + 40 = 130 giving x = 130-40 = 90

Answer:

∠ x = 90°

(90 degrees)

Step-by-step explanation:

When two angles combine to make a straight line, we know that their angle values must add up to 180

Here, we can see that 130 combines with an inner angle to form a straight line. (I will be calling this interior angle z )

So, 130 + z = 180

   130 + z = 180

 - 130        -130

   z = 50

We also know that all angles in a triangle must add up to 180 degrees, and because we know the two other angles of our triangle now, we can find x

z + x + 40 = 180

50 + x + 40 = 180

90 + x = 180

- 90           -90

x = 90

So, the measure of angle x is 90°

hope this helps!! have a lovely day :)

The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

As per the given description if the two rigid transformations are used to map ΔABC to ΔXYZ, and the first is a translation of vertex A to vertex X, then the second transformation will be A reflection across the line containing AC.

Hence, the correct option is B.

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Answer:

A   see  picture

Step-by-step explanation:

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

Let's think that the whole beach is like a line track of length L.

We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.

So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).

At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.

Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.

A third of that distance is:

(L/2)/3 = L/6

So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:

L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

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The standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.

Fron the information given, Jessica is using polynomials to represent the dimensions.

The width is 4c² + 5x and the length is 7c - 3. The height is also represented as 2c + 6d.

Here, the standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.

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Answer: A

Step-by-step explanation:

The y-intercept of f(x) is 3, so clearly we want a shift 5 units down.

The graph that shows the solution to the system of equations is attached below.

The solution to a system of linear equations is the point where the two graphs intersect. The coordinates of that point is the solution.

Given the system as:

y = 2/3x + 1

y = -2/3x - 1

Add both together to eliminate x

2y = 0

y = 0

Substitute y = 0 into y = 2/3x + 1 to find x

0 = 2/3x + 1

-1 = 2/3x

-3 = 2x

-3/2 = x

x = -3/2

The solution is: (-3/2, 0) = (-1.5, 0).

Therefore, the graph that shows the solution will intersect at (-1.5, 0), which is shown in the image attached below.

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Answer:

c

Step-by-step explanation:

way simple

The number of Apples that were in the given fruit salad is approximately; 2170 Apples.

We are given the ratio of apples to oranges as;

A:O = 31:11

Now, we are told that there are 2940 apples and oranges in total.

Thus, the fractions of apples and oranges of the total will be;

Apple fraction = 31/(31 + 11) = 31/42

Orange Fraction = 11/42

Thus;

Number of Apples = (31/42) * 2940

Number of Apples = 2170 Apples

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The different routes are 479,001,600

The number of cities is given as:

n = 12

The cities are different.

So, the number of routes is:

Routes = 12!

Expand

Routes =12 * 11 * 10 * 9 * ..... * 1

Evaluate

Routes =479,001,600

Hence, the different routes are 479,001,600

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Answer:

a) 25% are bad

b) 75% are good

Step-by-step explanation:

We know that there are 300 oranges total and that 75 are bad. That means that the rest are good (implied).

300 - 75 = 225 good oranges.

So to find the percentage we have to take the selected amount divided by the total amount.

Bad Apples:                               Good Apples:

75 / 300 = 0.25                          225/300 = 0.75

However, that's a decimal or a number out of 1, we need a percent or a number out of 100. So we have to multiply both numbers by 100.

Bad Apples = 25%

Good Apples = 75%

The cooper's weight as an adult dog will be 90 pounds.

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

A typical method for calculating a percentage is the formula shown below:

Calculation for the weight of Cooper as an adult;

Cooper's present weight is 20 pounds.

He will weigh about 350% as much as his current weight.

Calculate 350% of 20 pounds.

= (350×20)/100

= 70

The increment of the weight of Cooper will be 70 pounds.

Thus, the total weight is 20 + 70 = 90.

Therefore, the weight of Cooper after 350% as an adult would be 90 pounds.

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Answer:

ABF = 70

Step-by-step explanation:

Since angle EFD is 35, that means that angle AFB is also 35

Single BCD is 75, that means that angle BAF is also 75

Angles in a triangle add up to 180, thus:

75 + 35 + x = 180

x = 70

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

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This is my answer i dont know you like it or not

480 stamps must be given to Mark

Answer: 130 stamps.

Step-by-step explanation:

Let amount оf the stamps Debbie must give to Mark so that Mark have 120 more than she is x.    

Hence,

(580+x)-(720-x)=120

580+x-720+x=120

2x-140=120

2x=260

2*x=2*130

x=130.

So, 130 stamps Debbie must give to Mark so that Mark have 120 more than she.

Good luck an' have a nice day!

Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

[tex]f(x)=a(x-2)(x-6)[/tex]

Substituting in the coordinates of the vertex,

[tex]-4=a(4-2)(4-6)\\\\-4=a(2)(-2)\\\\-4=-4a\\\\a=1[/tex]

So, the equation is [tex]f(x)=(x-2)(x-6)[/tex].

On expanding, we get [tex]f(x)=x^2 - 8x+12[/tex]

The given function: B. has the same slope and a different y-intercept.

The linear function is expressed in slope-intercept form as, y = mx + b, where b is the y-intercept and m is the slope.

Slope (m) of the first function is: -7/9.

Its y-intercept (b) is: 3.

Given the equation, y + 11 = -7/9x - 18, rewrite in slope-intercept form:

y + 11 = -7/9x - 18

y = -7/9x - 18 - 11

y = -7/9x - 29

The slope (m) is: -7/9

Its y-intercept (b) is: -29

Therefore: B. It has the same slope and a different y-intercept.

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Answer: 252

Step-by-step explanation:

base times height

Answer is :

Step-by-step explanation:

Length ( L ) = 12 m

Breadth ( B ) = 21 m

Area ( A ) = ?

By using formula ,

Area = Length × Breadth

Area = 12 × 21

Area = 252 #